Question

The perimeter of a parallelogram is 24 cm and one of its sides is 8 cm. Find the other sides ​

Answer 1

perimeter = 2 l + 2 b

Perimeter = 24 cm

lenghth = AB = x + 8

breadth = AD = x

24 cm = 2(x + 8 ) + 2x

24 cm = 2x + 16 + 2x

24 - 16 = 4x

18 = 4 x

18/4 = x

4.5 = x

other side = x+8 = 4.5 +8 = 12.5 cm

Answer 2

Answer:

Here, the concept of side of parallelogram is used. We see that we're given the perimeter of parallelogram and length of one of the side of parallelogram. We've been asked to calculate the other side of parallelogram. The best way to calculate the other side is by using the formula of perimeter of parallelogram as we're givven with the perimeter and one of the side of parallelogram. Equating all the values in formula we will get it's other side.

Formula used:

Perimeter of parallelogram is the twice of sum of it's length and width.

$\bullet\quad\boxed{\bold{Perimeter\: of\: parallelogram=2\:(l+w)}}$

• l = Length of parallelogram
• w = Width of parallelogram

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Solution:

Given,

» Length of parallelogram = l = 8 cm

» Perimeter of parallelogram = P = 24 cm

The perimeter of parallelogram is given by, $\\\; \; \; \longrightarrow\quad\tt{Perimeter\; of\; parallelogram\:=\:2\:(l\:+\:w)}$

Equating all the values, we get:

$\; \; \; \longrightarrow\quad\tt{24\:=\:2\:(8\:+\:w)}$

Transposing 2 from RHS to LHS. It's arithmetic operator will get change.

$\; \; \; \longrightarrow\quad\tt{\dfrac{24}{2}\:=\:8\:+\:w}$

Performing division.

$\; \; \; \longrightarrow\quad\tt{12\:=\:8\:+\:w}$

Transposing 8 from RHS to LHS. It's sign will get change.

$\; \; \; \longrightarrow\quad\tt{12\:-\:8\:=\:w}$

Performing subtraction.

$\; \; \; \longrightarrow\quad\underline{\boxed{\tt{w=\bold{\purple{4\; cm}}}}}$

Therefore, the required answer is:

❝ The other side of parallelogram is 4 cm. ❞